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Finding the Third Proportional to 774,098,044,343 and 1,076,321,454,826

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Solution

The third proportional to 774,098,044,343 and 1,076,321,454,826 is: 1,496,538,949,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,098,044,343 : 1,076,321,454,826 = 1,076,321,454,826 : x
  2. Step 2: Convert to fraction form
    774,098,044,343/1,076,321,454,826 = 1,076,321,454,826/x
  3. Step 3: Cross multiply
    774,098,044,343x = 1,076,321,454,826 × 1,076,321,454,826
  4. Step 4: Simplify right side
    774,098,044,343x = 1,158,467,874,118,757,173,428,224
  5. Step 5: Solve for x
    x = 1,158,467,874,118,757,173,428,224/774,098,044,343
  6. Step 6: Final answer
    x = 1,496,538,949,535.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.